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Answer :
To simplify the fraction [tex]$$\frac{32}{40},$$[/tex] follow these steps:
1. Determine the greatest common divisor (GCD):
Find the largest number that divides both the numerator and the denominator. For [tex]$$32$$[/tex] and [tex]$$40,$$[/tex] the GCD is [tex]$$8$$[/tex].
2. Divide the numerator and denominator by the GCD:
Divide both terms by [tex]$$8$$[/tex]:
[tex]$$
\frac{32}{40} = \frac{32 \div 8}{40 \div 8} = \frac{4}{5}.
$$[/tex]
3. Conclude the simplest form:
The fraction in its simplest form is [tex]$$\frac{4}{5}$$[/tex].
Thus, the correct answer is [tex]$$\frac{4}{5}$$[/tex], which corresponds to choice A.
1. Determine the greatest common divisor (GCD):
Find the largest number that divides both the numerator and the denominator. For [tex]$$32$$[/tex] and [tex]$$40,$$[/tex] the GCD is [tex]$$8$$[/tex].
2. Divide the numerator and denominator by the GCD:
Divide both terms by [tex]$$8$$[/tex]:
[tex]$$
\frac{32}{40} = \frac{32 \div 8}{40 \div 8} = \frac{4}{5}.
$$[/tex]
3. Conclude the simplest form:
The fraction in its simplest form is [tex]$$\frac{4}{5}$$[/tex].
Thus, the correct answer is [tex]$$\frac{4}{5}$$[/tex], which corresponds to choice A.
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